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<div class="header">
  <div class="summary">
<a href="#func-members">Functions</a>  </div>
  <div class="headertitle">
<div class="title">GLM_GTC_quaternion<div class="ingroups"><a class="el" href="a00153.html">GTC Extensions (Stable)</a></div></div>  </div>
</div><!--header-->
<div class="contents">

<p>Defines a templated quaternion type and several quaternion operations.  
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:gad4a4448baedb198b2b1e7880d2544dc9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the quaternion rotation angle.  <a href="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">More...</a><br /></td></tr>
<tr class="separator:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga37ae19405f1ccf766f27e4fcd035d859"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga37ae19405f1ccf766f27e4fcd035d859"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga37ae19405f1ccf766f27e4fcd035d859">angleAxis</a> (T const &amp;angle, tvec3&lt; T, P &gt; const &amp;axis)</td></tr>
<tr class="memdesc:ga37ae19405f1ccf766f27e4fcd035d859"><td class="mdescLeft">&#160;</td><td class="mdescRight">Build a quaternion from an angle and a normalized axis.  <a href="a00172.html#ga37ae19405f1ccf766f27e4fcd035d859">More...</a><br /></td></tr>
<tr class="separator:ga37ae19405f1ccf766f27e4fcd035d859"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga0b3e87a13b2708154b72259e50789a19"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga0b3e87a13b2708154b72259e50789a19"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec3&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga0b3e87a13b2708154b72259e50789a19">axis</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga0b3e87a13b2708154b72259e50789a19"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the q rotation axis.  <a href="a00172.html#ga0b3e87a13b2708154b72259e50789a19">More...</a><br /></td></tr>
<tr class="separator:ga0b3e87a13b2708154b72259e50789a19"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gab1ace864fbf189ffa368950001808a3c"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:gab1ace864fbf189ffa368950001808a3c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gab1ace864fbf189ffa368950001808a3c">conjugate</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
<tr class="memdesc:gab1ace864fbf189ffa368950001808a3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the q conjugate.  <a href="a00172.html#gab1ace864fbf189ffa368950001808a3c">More...</a><br /></td></tr>
<tr class="separator:gab1ace864fbf189ffa368950001808a3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gac54dfc83de465a2d03e90d342242ab3d"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class quatType&gt; </td></tr>
<tr class="memitem:gac54dfc83de465a2d03e90d342242ab3d"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gac54dfc83de465a2d03e90d342242ab3d">dot</a> (quatType&lt; T, P &gt; const &amp;x, quatType&lt; T, P &gt; const &amp;y)</td></tr>
<tr class="memdesc:gac54dfc83de465a2d03e90d342242ab3d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ...  <a href="a00172.html#gac54dfc83de465a2d03e90d342242ab3d">More...</a><br /></td></tr>
<tr class="separator:gac54dfc83de465a2d03e90d342242ab3d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gac187115710365e0b2902220b9611e7b6"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:gac187115710365e0b2902220b9611e7b6"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gac187115710365e0b2902220b9611e7b6">equal</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
<tr class="memdesc:gac187115710365e0b2902220b9611e7b6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x == y.  <a href="a00172.html#gac187115710365e0b2902220b9611e7b6">More...</a><br /></td></tr>
<tr class="separator:gac187115710365e0b2902220b9611e7b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gadb92ec1c1b0dd6b024176a73fbef3e64"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:gadb92ec1c1b0dd6b024176a73fbef3e64"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec3&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gadb92ec1c1b0dd6b024176a73fbef3e64">eulerAngles</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:gadb92ec1c1b0dd6b024176a73fbef3e64"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns euler angles, pitch as x, yaw as y, roll as z.  <a href="a00172.html#gadb92ec1c1b0dd6b024176a73fbef3e64">More...</a><br /></td></tr>
<tr class="separator:gadb92ec1c1b0dd6b024176a73fbef3e64"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga09d21a588ae425ac7517ea65cc59a5ae"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga09d21a588ae425ac7517ea65cc59a5ae"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga09d21a588ae425ac7517ea65cc59a5ae">greaterThan</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
<tr class="memdesc:ga09d21a588ae425ac7517ea65cc59a5ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x &gt; y.  <a href="a00172.html#ga09d21a588ae425ac7517ea65cc59a5ae">More...</a><br /></td></tr>
<tr class="separator:ga09d21a588ae425ac7517ea65cc59a5ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga0906a221a2037519fcf316ea5c1e3b3e"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga0906a221a2037519fcf316ea5c1e3b3e"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga0906a221a2037519fcf316ea5c1e3b3e">greaterThanEqual</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
<tr class="memdesc:ga0906a221a2037519fcf316ea5c1e3b3e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x &gt;= y.  <a href="a00172.html#ga0906a221a2037519fcf316ea5c1e3b3e">More...</a><br /></td></tr>
<tr class="separator:ga0906a221a2037519fcf316ea5c1e3b3e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga5f47300c024c2d809944e6ac661d6d14"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga5f47300c024c2d809944e6ac661d6d14"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga5f47300c024c2d809944e6ac661d6d14">inverse</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
<tr class="memdesc:ga5f47300c024c2d809944e6ac661d6d14"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the q inverse.  <a href="a00172.html#ga5f47300c024c2d809944e6ac661d6d14">More...</a><br /></td></tr>
<tr class="separator:ga5f47300c024c2d809944e6ac661d6d14"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga0a850f06736d25887536d0da88e63c70"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga0a850f06736d25887536d0da88e63c70"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga0a850f06736d25887536d0da88e63c70">isinf</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga0a850f06736d25887536d0da88e63c70"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations.  <a href="a00172.html#ga0a850f06736d25887536d0da88e63c70">More...</a><br /></td></tr>
<tr class="separator:ga0a850f06736d25887536d0da88e63c70"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gad2fc52dd4ba5ff79cc56b3e0f9c092ed"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:gad2fc52dd4ba5ff79cc56b3e0f9c092ed"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gad2fc52dd4ba5ff79cc56b3e0f9c092ed">isnan</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:gad2fc52dd4ba5ff79cc56b3e0f9c092ed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations.  <a href="a00172.html#gad2fc52dd4ba5ff79cc56b3e0f9c092ed">More...</a><br /></td></tr>
<tr class="separator:gad2fc52dd4ba5ff79cc56b3e0f9c092ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gac682181783027544c8d251b4d3a60cf8"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:gac682181783027544c8d251b4d3a60cf8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gac682181783027544c8d251b4d3a60cf8">length</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
<tr class="memdesc:gac682181783027544c8d251b4d3a60cf8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of the quaternion.  <a href="a00172.html#gac682181783027544c8d251b4d3a60cf8">More...</a><br /></td></tr>
<tr class="separator:gac682181783027544c8d251b4d3a60cf8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga5692804fa4db9e762a1c19b607e54435"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga5692804fa4db9e762a1c19b607e54435"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga5692804fa4db9e762a1c19b607e54435">lerp</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T a)</td></tr>
<tr class="memdesc:ga5692804fa4db9e762a1c19b607e54435"><td class="mdescLeft">&#160;</td><td class="mdescRight">Linear interpolation of two quaternions.  <a href="a00172.html#ga5692804fa4db9e762a1c19b607e54435">More...</a><br /></td></tr>
<tr class="separator:ga5692804fa4db9e762a1c19b607e54435"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga91a40d16a3b5bb47d71ac1a3fb688ffa"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga91a40d16a3b5bb47d71ac1a3fb688ffa"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga91a40d16a3b5bb47d71ac1a3fb688ffa">lessThan</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
<tr class="memdesc:ga91a40d16a3b5bb47d71ac1a3fb688ffa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison result of x &lt; y.  <a href="a00172.html#ga91a40d16a3b5bb47d71ac1a3fb688ffa">More...</a><br /></td></tr>
<tr class="separator:ga91a40d16a3b5bb47d71ac1a3fb688ffa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga7c81996ed2724f26fe76faf352c76294"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga7c81996ed2724f26fe76faf352c76294"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga7c81996ed2724f26fe76faf352c76294">lessThanEqual</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
<tr class="memdesc:ga7c81996ed2724f26fe76faf352c76294"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x &lt;= y.  <a href="a00172.html#ga7c81996ed2724f26fe76faf352c76294">More...</a><br /></td></tr>
<tr class="separator:ga7c81996ed2724f26fe76faf352c76294"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gae04c39422eb4e450ec8c4f45a1057b40"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:gae04c39422eb4e450ec8c4f45a1057b40"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tmat3x3&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gae04c39422eb4e450ec8c4f45a1057b40">mat3_cast</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:gae04c39422eb4e450ec8c4f45a1057b40"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a quaternion to a 3 * 3 matrix.  <a href="a00172.html#gae04c39422eb4e450ec8c4f45a1057b40">More...</a><br /></td></tr>
<tr class="separator:gae04c39422eb4e450ec8c4f45a1057b40"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga14bb2ddf028c91542763eb6f2bba47ef"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga14bb2ddf028c91542763eb6f2bba47ef"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tmat4x4&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga14bb2ddf028c91542763eb6f2bba47ef">mat4_cast</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga14bb2ddf028c91542763eb6f2bba47ef"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a quaternion to a 4 * 4 matrix.  <a href="a00172.html#ga14bb2ddf028c91542763eb6f2bba47ef">More...</a><br /></td></tr>
<tr class="separator:ga14bb2ddf028c91542763eb6f2bba47ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga31cc82178742c36450f5662bd4fb30b0"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga31cc82178742c36450f5662bd4fb30b0"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga31cc82178742c36450f5662bd4fb30b0">mix</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T a)</td></tr>
<tr class="memdesc:ga31cc82178742c36450f5662bd4fb30b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Spherical linear interpolation of two quaternions.  <a href="a00172.html#ga31cc82178742c36450f5662bd4fb30b0">More...</a><br /></td></tr>
<tr class="separator:ga31cc82178742c36450f5662bd4fb30b0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga35b6bcb22ac6d1e4a85440f5b69bdf86"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga35b6bcb22ac6d1e4a85440f5b69bdf86"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga35b6bcb22ac6d1e4a85440f5b69bdf86">normalize</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
<tr class="memdesc:ga35b6bcb22ac6d1e4a85440f5b69bdf86"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the normalized quaternion.  <a href="a00172.html#ga35b6bcb22ac6d1e4a85440f5b69bdf86">More...</a><br /></td></tr>
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<tr class="memitem:ga484c4633f7c05d8e29ee8b452350f539"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga484c4633f7c05d8e29ee8b452350f539">notEqual</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
<tr class="memdesc:ga484c4633f7c05d8e29ee8b452350f539"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x != y.  <a href="a00172.html#ga484c4633f7c05d8e29ee8b452350f539">More...</a><br /></td></tr>
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<tr class="memitem:ga2c08b93a4261c10748fd4d2104346f17"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga2c08b93a4261c10748fd4d2104346f17">pitch</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga2c08b93a4261c10748fd4d2104346f17"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns pitch value of euler angles expressed in radians.  <a href="a00172.html#ga2c08b93a4261c10748fd4d2104346f17">More...</a><br /></td></tr>
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<tr class="memdesc:ga950f8acff3e33bbda77895a3dcb7e5ce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a 3 * 3 matrix to a quaternion.  <a href="a00172.html#ga950f8acff3e33bbda77895a3dcb7e5ce">More...</a><br /></td></tr>
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<tr class="memitem:ga3e4615e9884dd0f41f5617b9848a5d9c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga3e4615e9884dd0f41f5617b9848a5d9c">quat_cast</a> (tmat4x4&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga3e4615e9884dd0f41f5617b9848a5d9c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a 4 * 4 matrix to a quaternion.  <a href="a00172.html#ga3e4615e9884dd0f41f5617b9848a5d9c">More...</a><br /></td></tr>
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<tr class="memitem:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga4fd705376c6c1fd667be0055a0ea58ec">roll</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns roll value of euler angles expressed in radians.  <a href="a00172.html#ga4fd705376c6c1fd667be0055a0ea58ec">More...</a><br /></td></tr>
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<tr class="memitem:gaa8f42979c921e450ff2812fb43c25702"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gaa8f42979c921e450ff2812fb43c25702">rotate</a> (tquat&lt; T, P &gt; const &amp;q, T const &amp;angle, tvec3&lt; T, P &gt; const &amp;axis)</td></tr>
<tr class="memdesc:gaa8f42979c921e450ff2812fb43c25702"><td class="mdescLeft">&#160;</td><td class="mdescRight">Rotates a quaternion from a vector of 3 components axis and an angle.  <a href="a00172.html#gaa8f42979c921e450ff2812fb43c25702">More...</a><br /></td></tr>
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<tr class="memitem:ga22b438c7252f3fa5b773c9882471652a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga22b438c7252f3fa5b773c9882471652a">slerp</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T a)</td></tr>
<tr class="memdesc:ga22b438c7252f3fa5b773c9882471652a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Spherical linear interpolation of two quaternions.  <a href="a00172.html#ga22b438c7252f3fa5b773c9882471652a">More...</a><br /></td></tr>
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<tr class="memitem:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga724a5df282b70cec0a6cb0d6dcddb6d6">yaw</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns yaw value of euler angles expressed in radians.  <a href="a00172.html#ga724a5df282b70cec0a6cb0d6dcddb6d6">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<p>Defines a templated quaternion type and several quaternion operations. </p>
<p>&lt;<a class="el" href="a00088.html" title="GLM_GTC_quaternion ">glm/gtc/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
<h2 class="groupheader">Function Documentation</h2>
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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns the quaternion rotation angle. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">T const &amp;&#160;</td>
          <td class="paramname"><em>angle</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>axis</em>&#160;</td>
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<p>Build a quaternion from an angle and a normalized axis. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
    <tr><td class="paramname">axis</td><td>Axis of the quaternion, must be normalized.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns the q rotation axis. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>q</em></td><td>)</td>
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<p>Returns the q conjugate. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">quatType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">quatType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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<p>Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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          <td></td>
          <td>)</td>
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<p>Returns the component-wise comparison of result x == y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
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<p>Returns euler angles, pitch as x, yaw as y, roll as z. </p>
<p>The result is expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise.</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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<p>Returns the component-wise comparison of result x &gt; y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
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          <td class="paramname"><em>y</em>&#160;</td>
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<p>Returns the component-wise comparison of result x &gt;= y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>q</em></td><td>)</td>
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<p>Returns the q inverse. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations. </p>
<p>Returns false otherwise, including for implementations with no infinity representations.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
  </table>
  </dd>
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          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations. </p>
<p>Returns false otherwise, including for implementations with no NaN representations.</p>
<p>/!\ When using compiler fast math, this function may fail.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
  </table>
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          <td>(</td>
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<p>Returns the length of the quaternion. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td class="paramname"><em>x</em>, </td>
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<p>Linear interpolation of two quaternions. </p>
<p>The interpolation is oriented.</p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>A quaternion </td></tr>
    <tr><td class="paramname">y</td><td>A quaternion </td></tr>
    <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined in the range [0, 1]. </td></tr>
  </table>
  </dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
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          <td class="paramkey"></td>
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          <td class="paramname"><em>y</em>&#160;</td>
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<p>Returns the component-wise comparison result of x &lt; y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
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          <td class="paramname"><em>y</em>&#160;</td>
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<p>Returns the component-wise comparison of result x &lt;= y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Converts a quaternion to a 3 * 3 matrix. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

<p>Referenced by <a class="el" href="a00089_source.html#l00128">glm::toMat3()</a>.</p>

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          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Converts a quaternion to a 4 * 4 matrix. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

<p>Referenced by <a class="el" href="a00089_source.html#l00135">glm::toMat4()</a>.</p>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>y</em>, </td>
        </tr>
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          <td class="paramkey"></td>
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          <td class="paramtype">T&#160;</td>
          <td class="paramname"><em>a</em>&#160;</td>
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          <td></td>
          <td>)</td>
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        </tr>
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<p>Spherical linear interpolation of two quaternions. </p>
<p>The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.</p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>A quaternion </td></tr>
    <tr><td class="paramname">y</td><td>A quaternion </td></tr>
    <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
  </table>
  </dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd>
<dd>
- slerp(tquat&lt;T, P&gt; const &amp; x, tquat&lt;T, P&gt; const &amp; y, T const &amp; a) </dd></dl>

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          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>q</em></td><td>)</td>
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<p>Returns the normalized quaternion. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
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          <td class="paramname"><em>y</em>&#160;</td>
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<p>Returns the component-wise comparison of result x != y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns pitch value of euler angles expressed in radians. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00220.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tmat3x3&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Converts a 3 * 3 matrix to a quaternion. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

<p>Referenced by <a class="el" href="a00089_source.html#l00142">glm::toQuat()</a>.</p>

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          <td>(</td>
          <td class="paramtype">tmat4x4&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Converts a 4 * 4 matrix to a quaternion. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns roll value of euler angles expressed in radians. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00220.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>q</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">T const &amp;&#160;</td>
          <td class="paramname"><em>angle</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>axis</em>&#160;</td>
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          <td></td>
          <td>)</td>
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        </tr>
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<p>Rotates a quaternion from a vector of 3 components axis and an angle. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">q</td><td>Source orientation </td></tr>
    <tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
    <tr><td class="paramname">axis</td><td>Axis of the rotation</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>y</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">T&#160;</td>
          <td class="paramname"><em>a</em>&#160;</td>
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          <td></td>
          <td>)</td>
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        </tr>
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<p>Spherical linear interpolation of two quaternions. </p>
<p>The interpolation always take the short path and the rotation is performed at constant speed.</p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>A quaternion </td></tr>
    <tr><td class="paramname">y</td><td>A quaternion </td></tr>
    <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
  </table>
  </dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
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<p>Returns yaw value of euler angles expressed in radians. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00220.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>

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